RINGS WHOSE CS-MODULES HAVE INJECTIVE SINGULAR SUBMODULES

Authors
KAMAL MA
Citation
Ma. Kamal, RINGS WHOSE CS-MODULES HAVE INJECTIVE SINGULAR SUBMODULES, Arabian journal for science and engineering, 20(4A), 1995, pp. 729-733
Citations number
7
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Arabian journal for science and engineering → ACNP
ISSN journal
03779211
Volume
20
Issue
4A
Year of publication
1995
Pages
729 - 733
Database
ISI
SICI code
0377-9211(1995)20:4A<729:RWCHIS>2.0.ZU;2-7
Abstract
The aim of this paper is to study rings with the property that, if the singular submodule of a right CS-module is proper then it is injectiv e. Rings with this property will be called right SCI-rings. We show th at prime right Goldie rings are always right SCI-rings, while semiprim e right Goldie rings need not be SCI-rings. We also give the necessary and sufficient condition for right noetherian rings and for semiprime right Goldie rings to be SCI-rings.